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996831040 = 265172331257
BaseRepresentation
bin111011011010100…
…110111101000000
32120110201021010011
4323122212331000
54020142043130
6242525314304
733462631642
oct7332467500
92513637104
10996831040
11471759a07
12239a05994
1312b69a96a
1496564892
155c7a752a
hex3b6a6f40

996831040 has 224 divisors, whose sum is σ = 2717743104. Its totient is φ = 346030080.

The previous prime is 996830981. The next prime is 996831103. The reversal of 996831040 is 40138699.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 996830984 and 996831002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3878592 + ... + 3878848.

Almost surely, 2996831040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358871552).

996831040 is an abundant number, since it is smaller than the sum of its proper divisors (1720912064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

996831040 is a wasteful number, since it uses less digits than its factorization.

996831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 996831040 is about 31572.6311858863. The cubic root of 996831040 is about 998.9425622195.

The spelling of 996831040 in words is "nine hundred ninety-six million, eight hundred thirty-one thousand, forty".